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Finding the Fourth Proportional to 117,839.40, 176,780.70 and 47,725.80

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Solution

The fourth proportional to 117,839.40, 176,780.70 and 47,725.80 is: 71,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,839.40 : 176,780.70 = 47,725.80 : x
  2. Step 2: Convert to fraction form
    117,839.40/176,780.70 = 47,725.80/x
  3. Step 3: Cross multiply
    117,839.40x = 176,780.70 × 47,725.80
  4. Step 4: Simplify right side
    117,839.40x = 8,437,000,332.06
  5. Step 5: Solve for x
    x = 8,437,000,332.06/117,839.40
  6. Step 6: Final answer
    x = 71,597.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.